On uniqueness of tangent cones for Einstein manifolds

被引：0
|
作者：
Tobias Holck Colding
William P. Minicozzi
机构：
[1] MIT,Dept. of Math.
[2] Johns Hopkins University,Dept. of Math.
来源：
Inventiones mathematicae | 2014年 / 196卷
关键词：
Scalar Curvature; Ricci Curvature; Tangent Cone; Einstein Manifold; Monotonicity Formula;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that for any Ricci-flat manifold with Euclidean volume growth the tangent cone at infinity is unique if one tangent cone has a smooth cross-section. Similarly, for any noncollapsing limit of Einstein manifolds with uniformly bounded Einstein constants, we show that local tangent cones are unique if one tangent cone has a smooth cross-section.
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页码：515 / 588
页数：73
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